In graph theory, an area of mathematics, an equitable coloring is an assignment of colors to the vertices of an undirected graph, in such a way that * No two adjacent vertices have the same color, and * The numbers of vertices in any two color classes differ by at most one. That is, the partition of vertices among the different colors is as uniform as possible. For instance, giving each vertex a distinct color would be equitable, but would typically use many more colors than are necessary in an optimal equitable coloring. An equivalent way of defining an equitable coloring is that it is an embedding of the given graph as a subgraph of a Turán graph with the same set of vertices. There are two kinds of chromatic number associated with equitable coloring. The equitable chromatic number of a graph G is the smallest number k such that G has an equitable coloring with k colors. But G might not have equitable colorings for some larger numbers of colors; the equitable chromatic threshold of G is the smallest k such that G has equitable colorings for any number of colors greater than or equal to k. The Hajnal–Szemerédi theorem, posed as a conjecture by Paul Erdős and proven by András Hajnal and Endre Szemerédi, states that any graph with maximum degree Δ has an equitable coloring with Δ + 1 colors. Several related conjectures remain open. Polynomial time algorithms are also known for finding a coloring matching this bound, and for finding optimal colorings of special classes of graphs, but the more general problem of deciding whether an arbitrary graph has an equitable coloring with a given number of colors is NP-complete. (Wikipedia).
How To Construct An Equilateral Triangle
Complete videos list: http://mathispower4u.yolasite.com/ This video will show how to construct an equilateral triangle with a compass and straight edge.
From playlist Triangles and Congruence
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From playlist Geometry
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From playlist Relationships with Triangles
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From playlist Geometry
What is an equilateral triangle
👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl
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Why meritocracy is America’s most destructive myth | DeRay Mckesson | Big Think
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From playlist Best Videos | Big Think
Dr. Mireille Kamariza, Harvard University 2020 Stanford.Berkeley.UCSF Next Generation Faculty Symposium
From playlist 2020 Stanford.Berkeley.UCSF Next Generation Faculty Symposium
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From playlist Triangles and Congruence
Graph regularity and counting lemmas - Jacob Fox
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From playlist Mathematics
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MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX Prof. Zhao explains a strengthening of the graph regulari
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Equilateral Triangle to 30-60-90 Triangle: Dynamic Illustration without Words
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From playlist Geometry: Dynamic Interactives!
What is Equity and Why Do Our Children Deserve it? | Rodney Robinson | TEDxCharlottesville
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From playlist Geometry: Challenge Problems
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From playlist Stanford Seminars
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